Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 212 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.(1 point)

Answer 1

Let's assume the amount of flour in the original recipe is represented by x cups.
We know that the amount of flour and sugar combined in the changed recipe is 212 cups.
Since the original recipe has 2 cups of sugar, the combined amount of sugar and flour in the original recipe is x + 2 cups.
According to the problem, the changed recipe makes 4 loaves, while Kendra only wants to make one loaf.
Therefore, the amount of flour and sugar combined in one loaf of bread is (x + 2) / 4 cups.
Since the amount of flour and sugar combined in one loaf is 212 cups, we can set up the equation: (x + 2) / 4 = 212.
Multiplying both sides of the equation by 4 gives us x + 2 = 848.
Subtracting 2 from both sides of the equation gives us x = 846.
Therefore, the amount of flour in the original recipe is 846 cups.

Answer 2

Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

Answer 3

Let x be the amount of flour in cups in the original recipe.
Since the original recipe calls for 2 cups of sugar, the combined amount of sugar and flour in the original recipe is x + 2 cups.
According to the problem, the changed recipe makes 4 loaves, while Kendra only wants to make one loaf.
Therefore, the amount of flour and sugar combined in one loaf of bread is (x + 2) / 4 cups.
Since the amount of flour and sugar combined in one loaf is 2 1/2 cups, we can set up the equation: (x + 2) / 4 = 2 1/2.
We can convert 2 1/2 to an improper fraction: 2 1/2 = 5/2.
Multiplying both sides of the equation by 4 gives us x + 2 = (5/2) * 4 = 20/2 = 10.
Subtracting 2 from both sides of the equation gives us x = 10 - 2 = 8.
Therefore, the amount of flour in the original recipe is 8 cups.